MP Police Constable : (30 Nov 2025) Memory-Based Paper (Previous Year Paper)

The Correct Answer is Heart Lamp.

In News

• ‘Heart Lamp’ becomes 1^st Kannada title shortlisted for International Booker Prize 2025.

Key Points

• Banu Mushtaq’s short story collection, ‘Heart Lamp’, has been shortlisted for the International Booker Prize 2025.
• The collection has been translated from Kannada to English by Deepa Bhasthi.
• This is the first time a Kannada title has been shortlisted for the International Booker Prize.
• The collection consists of 12 stories, originally published between 1990 and 2023.
• Mushtaq’s work is praised for its witty, vivid, colloquial, moving, and excoriating style in capturing portraits of family and community tensions.
• The collection is one of six titles shortlisted for the International Booker Prize 2025.

Concept:

• Alimentary canal is a hollow tubular organ that helps in the digestion of ingested food.
• It may be of two types:
• Complete alimentary canal – has 2 separate openings, mouth for ingestion and anus for egestion.
• Incomplete alimentary canal – has only one opening which functions for both ingestion and egestion.

Key Points

• Taenia refers to a genus of tapeworms belonging to phylum Platyhelminthes.
• In some organisms like Taenia, the alimentary canal is absent altogether.
• Taenia is an endoparasite in which digestion takes place by absorbing the nutrients from the host directly through their body surface.

Additional Information

• Fasciola – or liver fluke has an incomplete alimentary canal with a single ventral mouth.
• Ascaris – or roundworm has a complete alimentary canal with an anterior mouth and posterior anus.
• Ancylostoma – or hookworm has a complete muscular alimentary canal.

The logic followed is:

Height of 8 boys B1, B2, B3, B4, B5, B6, B7, and B8 are compared.

i) Height of B4 is more than B6.

B4 > B6 equation i)

ii) Height of B8 is less than only 3 boys.

iii) Height of B2 is more than B1 but less than B8.

B8 > B2 > B1 equation ii)

iv)  If the height of B4 is less than B1

B1 > B4 equation iii)

v) B5 and B7 are taller than B8 but shorter than B3.

From the equation i) and iii) we can say,

B6 is the smallest of all. Thus we can conclude from the given statement i.e the height of B3 will be the least or maximum. As B6 is the smallest, it is only possible B3 is the maximum in height.

Thus the final arrangement is:

B3 > B5 = B7 > B8 > B2 > B1 > B4 > B6 

Hence, the correct answer is "Option 3".

Given:

In nine innings the average of a batsman = 58

In tenth innings the average of a batsman = 61

Concept used:

Sum = Average × number of terms

Calculation:

Let the batsman have made 'x' runs in 10^th innings

According to the question:

⇒ 58 × 9 + x = 61 × 10

⇒ x = 610 - 522 = 88

∴ The correct answer is 88 runs.

The correct answer is Uttarakhand

In News

• Uttarakhand Forest Department developed "Mahabharat Vatika", an ethnobotanical garden in Haldwani, spanning one acre, featuring 37 plant species mentioned in the Mahabharata.

Key Points

• Plants include Peepal, Bargad, Dhak, Kovidar, Harsringar, Khair, and Baheda, with species from all 18 sections of the sacred text.
• The garden links religion, history, and environmental conservation, inspired by Bhishma Pitamah's teachings to Yudhisthira on the importance of plants and wildlife.
• Developed after extensive research, the Vatika highlights the significance of forests as described in the Van Parva/Aranya Parva of the Mahabharata.
• Follows the 2024 initiative of Ramayan Vatika, featuring plants from the Valmiki Ramayan, showcasing Uttarakhand's focus on religious and ecological preservation.
• The Mahabharat Vatika emphasizes forest conservation, tree planting, and tiger protection, drawing lessons from the ancient Hindu text.
• Authored by sage Ved Vyasa, Mahabharata integrates spiritual, ecological, and historical insights into environmental stewardship.

Given:

Goldsmith : Jewellery :: Cobbler : ?

Here, Goldsmith is the one who works with Jewellery.

Similarly, Cobbler is the one who works with shoes.

Hence the correct answer is shoes.

Concept Used: 

If Investment is for the same time then the total business will be divided in the ratio of their total investment respectively.

Calculation: 

The ratio of their investment = 8000 : 60000 = 2 : 15

∴ The ratio of their total business at the end of the year will be 2 : 15

Traditional Method:

Given: 

Investment by A = 8000

Investment by B = 60000

Total time of their investment = 1 year

Concept Used:

The total business is divided in the ratio of the product of their investment & time respectively.

Formula used:

The ratio of total business = (Investment of A × Time) : (Investment of B × Time)

Calculation:

According to the formula used

Ratio of total business = (8000 × 1) : (60000 × 1)

⇒ 2 : 15

∴ At the end of the year, the total business will be divided in the ratio of 2 : 15

The correct answer is option 2.

In News

• The Maharashtra government has recently reclaimed the iconic sword of Raghuji Bhosale I, a legendary Maratha warrior and founder of the Nagpur Bhonsle dynasty.

Key Points

• Raghuji Bhosale I (1695–1755) was an important commander in the Maratha army during Chhatrapati Shahu Maharaj's reign. Hence, Option 2 is correct.
• He was bestowed the title ‘Senasahibsubha’ by Chhatrapati Shahu Maharaj in recognition of his bravery and military prowess.
• He played a major role in expanding Maratha influence to Bengal, Odisha, Chhattisgarh, and South India.

Additional Information

• The Nagpur Bhonsle dynasty, founded by Raghuji Bhosale I, became one of the key ruling Maratha families alongside the Peshwas, Holkars, Gaikwads, and Scindias.
• The region under the Nagpur Bhosales was rich in iron and copper, which contributed to their reputation for high-quality weapon craftsmanship.

The correct answer is As the wavelength is low, blue color scattering is easy.

CONCEPT:

Rayleigh's law of scattering:

• According to Rayleigh's law of scattering, the intensity of light of wavelength λ present in the scattered light is inversely proportional to the fourth power of λ, provided the size of the scattering particles are much smaller than λ. Mathematically,

\(I \propto \frac{1}{\lambda }\)

• Thus the scattered intensity is maximum for shorter wavelength.

EXPLANATION:

• The molecules of air and other fine particles in the atmosphere have a size smaller than the wavelength of visible light.
• These are more effective in scattering light of shorter wavelengths at the blue end than the light of longer wavelengths at the red end.
• The red light has a wavelength of about 1.8 times greater than blue light. Thus, when sunlight passes through the atmosphere, the fine particles in the air scatter the blue colour (shorter wavelengths) more strongly than red. Therefore option 4 is correct.
• The sky appears blue due to the scattering of light.

Important Points

• If the earth had no atmosphere, there would not have been any scattering.
• Then, the sky would have looked dark. The sky appears dark to passengers flying at very high altitudes, as scattering is not prominent at such heights.

The correct answer is Option 4.

The statement uses the word generally, which means that no extreme conclusion can be drawn from the statement.

So no conclusion talking about all the people or none of the people will follow the statement.

Hence the correct answer is option 4.

Given:

 x4 + \(\frac{1}{{{x^4}}}\) = 194 

Calculations:

According to question,

x4 + \(\frac{1}{{{x^4}}}\) = 194 

⇒x² + 1/x² = √(194 + 2)

⇒x² + 1/x² = 14

⇒x + 1/x = √(14 + 2) = √16 = 4

now, x³ + 1/x³

= 4³ - 3(4)

= 64 - 12

= 52

Hence, The Required value is 52.

The correct answer is ​Bhagabhadra.

Key Points

• Bhagabhadra ruled in north, central, and eastern India around 110 BCE.
• He established his court in Besanagar, Madhya Pradesh.
• He is best known from an inscription at the Heliodorus pillar in Vidisha, Madhya Pradesh.

Additional Information

• The Shunga dynasty ruled the central and eastern Indian subcontinent from around 185 to 75 BCE.
• It was established by Pushyamitra Shunga after killing Brihadratha Maurya, the last ruler of the Maurya Empire.
• Its capital cities were Pataliputra and Vidisha.

The correct answer is 82.

Key Points

• Chemical element lead has the atomic number 82 and the letter Pb for its symbol.
• It is a dense hefty metal that is heavier than the majority of everyday materials.
• Lead is pliable and soft, and it also has a low melting point.
• Lead has a tinge of blue when it is first cut, and it is bright and grey. When exposed to air, it tarnishes to a drab grey tone.
• Three of lead's isotopes are ends of significant nuclear decay chains of heavier elements, and lead has the highest atomic number of any stable element. Even trace levels of lead are harmful, especially for young infants.

Additional Information

Logic:  Alphabets on the odd numbered positions are replaced by the 2^nd succeeding alphabets and the alphabets on the even numbered positions are replaced by the 3^rd preceding alphabets according to the alphabetical series.

Similarly,

So, code for “LIGPCVMF” – “NFIMESOC”

Hence, “NFIMESOC” is the correct answer.

Given:

The perimeter of an isosceles triangle = 90 cm.

And base = 26 cm

Concept used:

An isosceles triangle two angles will also be the same in front of the equal sides.

Formula used:

P = (2a + b)

Where, p = perimeter

a = side and b = another side

Calculation:

Let the length of the equal sides be x

P = (2a + b)

⇒ 90 = 2x + 26

⇒ (90 – 26) = 2x

⇒ 64 = 2x

⇒ x = 64/2 = 32

∴ The length of the equal sides is 32 cm.

The correct answer is Maulana Abul Kalam Azad.

Key Points

• The birthday of India's first education minister Maulana Abul Kalam Azad is celebrated as National Education Day.
• It started in the year 2008.

Important Points

• Abul Kalam Ghulam Muhiyuddin is known as Maulana Abul Kalam Azad. He was born in 1888 in Mecca, Saudi Arabia.
• He started a weekly magazine Al-Hilal in Urdu in 1912 to criticize British policies. Al-Hilal was started.
• After Al-Hilal was banned, he started another weekly, Al-Baghah.

Additional Information

• Rabindranath Tagore, rich in versatility, was the first non-European person to win the Nobel Prize in Literature in 1913.
• He was awarded the Nobel Prize in Literature in 1913 for his poem Gitanjali.
• Dr. APJ Abdul Kalam, the former President of India, is known as the 'Missile Man of India'.

Explanation:

Rutherford’s alpha-particle scattering experiment: This experiment was responsible for the discovery of the atomic nucleus.

• Ernest Rutherford was interested in knowing how the electrons are arranged within an atom. Rutherford designed an experiment for this.

• In this experiment, fast-moving alpha (α)-particles were made to fall on a thin gold foil.

• He selected a gold foil because he wanted as thin a layer as possible. This gold foil was about 1000 atoms thick.

• α-particles are doubly charged helium ions. Since they have a mass of 4 u, the fast-moving α-particles have a considerable amount of energy.

• It was expected that α-particles would be deflected by the sub-atomic particles in the gold atoms. Since the α-particles were much heavier than the protons, he did not expect to see large deflections.

• But, the α-particle scattering experiment gave totally unexpected results. The following observations were made:

• Most of the fast-moving α-particles passed straight through the gold foil.

• Some of the α-particles were deflected by the foil by small angles.

• Surprisingly one out of every 12000 particles appeared to rebound

• On the basis of his experiment, Rutherford put forward the nuclear model of an atom, which had the following features:

• There is a positively charged centre in an atom called the nucleus. Nearly all the mass of an atom resides in the nucleus.

• The electrons revolve around the nucleus in circular paths.

• The size of the nucleus is very small as compared to the size of the atom.

Additional Information

• Electron was discovered by J.J. Thomson in 1896.
• Sir James Chadwick discovered neutrons in the year 1932.
• The discovery of the proton is credited to Ernest Rutherford, who proved that the nucleus of the hydrogen atom (i.e. a proton) is present in the nuclei of all other atoms in the year 1917.

The correct answer is Telangana.

The description is as follows:

All the options is capital of states,

Whereas, Telangana is a State.

Hence, ‘Telangana is the odd one out.

Shortcut Trick

Marked Price (MP) = Selling Price (SP) + Discount = 132 + 11 = ₹143.

Since MP is 10% more than Cost Price (CP), CP = 143 ÷ 1.1 = ₹130.

Profit = SP − CP = 132 − 130 = ₹2.

Profit % = (2 ÷ 130) × 100 ≈ 1.53%.

∴ The correct answer is 1.53 percent.

Alternate Method

Given:

Selling Price (SP) = ₹132

Discount = ₹11

Markup Percentage = 10% above Cost Price (CP)

⇒ Marked Price (MP) = SP + Discount

⇒ MP = 132 + 11 = ₹143

⇒ Let CP be ₹x.

⇒ MP = 110% of CP

⇒ 143 = (110 ÷ 100) × x

⇒ x = (143 × 100) ÷ 110 = ₹130

⇒ Profit = SP − CP = 132 − 130 = ₹2

⇒ Profit Percentage = (Profit ÷ CP) × 100

⇒ Profit % = (2 ÷ 130) × 100 = 20 ÷ 13 ≈ 1.53%

∴ The correct answer is 1.53 percent.

Additional Information

Marked Price and Discount

The Marked Price (MP) is the price listed by the seller. Discount is always calculated on the MP: SP = MP × (100 − Discount%)/100.

Profit and Markup

Profit is the gain on the Cost Price (CP). Markup is the extra price added to the CP to decide the MP: MP = CP × (100 + Markup%)/100.

Key Relation

The relationship between CP and MP is given by: CP ÷ MP = (100 − Discount%) ÷ (100 + Profit%).

The correct answer is Nathdwara.

Key Points

• The ancient name of Nathdwara was "Sihad".
• In 1669 AD, Mughal Emperor Aurangzeb issued an order to break Hindu temples and idols.
• As a result, the idol of Shri Nathji was brought to Mewar from Vrindavan.
• The ruler of this place, Raj Singh, got the idol of Shri Nathji installed in Nathdwara in 1672 AD.
• It is situated on the banks of the Banas river. The Vallabh sect worships Lord Krishna eight times a day.

Important Points

• Vallabh Sampradaya
• Founder - Acharya Vallabhji
• Asht Chhap Mandali – This congregation was established by Vitthal Nath ji, the son of Vallabh ji, which used to propagate this community.
• Pradhan Peeth:- Shri Nath Temple (Nathdwara-Rajsamand)
• The Vallabh sect worships the child form of Shri Krishna.
• Samvat Singh Rathore, the ruler of Kishangarh, was associated with this community.
• 7 additional peeths of this sect are functioning.
• Bitthal Nath Ji - Nathdwara (Rajsamand)
• Dwarkadhish ji – Kankroli (Rajsamand)
• Gokul Chandra Ji – Cama (Bharatpur)
• Madan Mohan ji – maternal uncle (Bharatpur)
• Mathuresh ji – Kota
• Balakrishna Ji – Surat (Gujarat)
• Gokul Nath ji – Gokul (Uttar Pradesh)
• Philosophy – Shuddhadvaita
• Pichhwai art was developed by the Vallabh sect.

The correct answer is Sodium hydroxide-Washing soda.

Key Points

Sodium Hydroxide 

• It is commonly known as Caustic Soda.
• Its chemical formula is NaOH.
• It is used for manufacturing soaps and detergents.

Additional Information

Chemical Compounds, their chemical formulae, and their common name

The correct answer is Option 2.

The statement clearly states that only people with photo ID proof will be allowed.

However, it is not necessary that all those with ID proof will visit the exhibition. So conclusion I is incorrect.

Conclusion II is the direct negative form of the given statement. Since only people with photo IDs are allowed to enter, no one will be allowed without photo ID proof.

Hence conclusion II is correct.

Let the height and the radius of the cone be h and r respectively.

Given,

⇒ h/r = 24/7

Volume of cylinder = 3696

⇒ 3696 = πr²h

⇒ 1176 = r²h

⇒ 1176 = r² × (24r/7)

⇒ r³ = 343

⇒ r = 7 cm

⇒ h = 24 cm

Slant height = l = √(24² + 7²) = √625 = 25 cm

Total surface area of cone = πrl + πr²

= π(7 × 25 + 7 × 7) = 22(25 + 7) = 704 cm²

The correct answer is Krishnadevaraya.

Key Points

• Krishnadevaraya
• He was the ruler of the Tuluva dynasty of the Vijayanagar empire (1509-29 AD).
• His rule was characterized by expansion and consolidation.
• The famous Hazara temple of Vijaynagar was built during the reign of Krishnadevaraya.
• He is credited with building some fine temples and adding impressive gopurams to many important south Indian temples.
• He also founded a suburban township near Vijayanagar called Nagalapuram after his mother.
• He composed a work on statecraft in Telugu known as the Amuktamalyada.

Additional Information

• The Vijayanagar Empire (1336-1646 A.D.)
• Harihara and Bukka are the founders of the Vijayanagar City in 1336 A.D. on the southern banks of Tungabhadra
• They made Hampi the capital city.
• They served under Vira Ballala III, the Hoysala King.
• Harihara I
• In 1336 A.D. Harihara I became the ruler of the Sangama Dynasty.
• He captured Mysore and Madurai.
• In 1356 A.D. Bukka-I succeeded him.
• Devaraya I:
• Deva Raya-I emerged successful against the Gajapatis of Odisha and undertook important works of fortification and irrigation.
• Italian traveler Niccolò de' Conti wrote about him as the most powerful ruler of India.
• Firuz Bahmani of Bahmani Sultanate entered into a treaty with Deva Raya I of Vijayanagara in 1407 that required the latter to pay Bahmani an annual tribute of "100,000 huns, five maunds of pearls and fifty elephants".
• The Sultanate invaded Vijayanagara in 1417 when the latter defaulted in paying the tribute.
• Devaraya II:
• Deva Raya II succeeded to the throne in 1424.
• He was possibly the most successful of the Sangama Dynasty rulers.
• He quelled rebelling feudal lords as well as the Zamorin of Calicut and Quilon in the south.
• He invaded Sri Lanka and became the overlord of the kings of Burma at Pegu and Tanasserim.
• By 1436 the rebellious chiefs of Kondavidu and the Velama rulers were successfully dealt with.
• Administration of Vijayanagar
• Well-organized administrative system
• The king was head of all powers in the state.
• Council of Ministers - to assist the King in the work of administration.
• The Empire was divided into six Provinces.
• Naik - a Governor who administered each Province.
• The provinces were divided into districts and the districts were further divided into smaller units namely villages.
• The village was administered by hereditary officers like accountants, watchmen, the weights men, and officers in charge of forced labour.
• Mahanayakacharya:- He is an officer and the contact point between the villages and the Central administration.

The correct answer is 3 i.e. 46 grams.

Explanation:

• 1 mole of C2H5OH = Molecular mass of C₂H₅OH in grams
• Mass of 2C + Mass of 6H + Mass of 1O
• 12 × 2 + 1 × 6 + 16 × 1
• 24 + 6 + 16
• 46 grams

By putting the options and substituting :

1) M P P Q Q Q M → P M Q P P P M Q Q Q P Q Q M P.

2) M Q P Q P Q M → P M Q Q P P M Q Q P P Q Q M P.

3) M Q P Q P M Q → P M Q Q P / P M Q Q P / P M Q Q P.

Here the word formed is PMQQP 

4) M P Q P Q M Q → P M Q P P Q M P Q Q P M Q Q P.

Hence, the correct answer is "Option 3".

Shortcut Trick

Ratio of Rajesh : Rakesh : Ramesh = 2 : 4 : 9

Given: Rajesh (2 units) = 30 marks

Unit value = 30 ÷ 2 = 15 marks

Rakesh (4 units) = 4 × 15 = 60 marks

Ramesh (9 units) = 9 × 15 = 135 marks

∴ The correct answer is Rakesh = 60, Ramesh = 135.

Alternate Method

Given:

Ratio of marks = 2 : 4 : 9

Marks scored by Rajesh = 30

Formula:

Value of one ratio part = Given value ÷ Corresponding ratio share

⇒ Let the marks of Rajesh, Rakesh, and Ramesh be 2x, 4x, and 9x respectively.

⇒ 2x = 30

⇒ x = 30 ÷ 2 = 15

⇒ Rakesh's marks = 4x = 4 × 15 = 60

⇒ Ramesh's marks = 9x = 9 × 15 = 135

∴ The correct answer is Rakesh = 60, Ramesh = 135.

Additional Information

Ratio Definition

A ratio compares quantities by division and is usually expressed in its simplest form (a : b).

Unitary Method in Ratios

Total value = (Sum of ratio parts) × (Value of one part). Conversely, Value of one part = Given value ÷ Respective ratio part.

Proportion

Equality of two ratios is called proportion. If a : b :: c : d, then product of extremes (ad) = product of means (bc).

The correct answer is 2010.

Key Points

• The Jawaharlal Nehru National Solar Mission (JNNSM), or the National Solar Mission, is an initiative of the Government of India and State Governments.
• Aim: to promote solar power in India.
• Inaugurated in January 2010, the JNNSM has been revised twice and now boasts a target of 100 GW of solar PV by 2022.

Additional Information

• Under the 2015 Paris Climate Agreement, India set ambitious targets to produce 50% of its electricity from renewable sources and install 450GW of renewable energy capacity by 2030.
• Karnataka heads India's list of states producing solar energy and has a total installed solar power capacity of about 7,100MW.

• Members of Isotopes have similar chemical properties.
• Isotopes of an element have the same number of electrons and protons as an atom of that element. Example: ³⁵Cl₁₇ and ³⁷Cl₁₇
• Isobars are atoms (nuclides) of different chemical elements that have the same number of nucleons.
• Isotones are the two nuclides if they have the same neutron number N, but different proton number Z.

According to the given information:

A team is to be selected from 9 girls: A, B, C, D, E, F, G, H, and I. 

Given: If C and G are selected in a team then the other players that can be selected in the same team under the given condition are as follows :

1) C cannot be selected with H.

2) G and F have to be selected together.

Possible cases:

3) Only one among D, H and B must be selected. 

Possible cases:

But, Case II will be eliminated as it contradicts with condition 1.

4) A and D have to be selected together.

Possible cases :

After satisfying all the conditions, we have two teams "C G F D A" and "C G F B".

Now, two girls are left  'E' and 'I', who are not mentioned in the above conditions.Thus, they can be selected in both the teams.

Thus we have,

Clearly, the maximum number of members in the team including C and G is in 'TEAM I' having '7 members'.

Hence, the correct answer is "7".

Given:

The ratio of the area of two circles = 4 : 9

Formula used:

Area of circle = πr2

And the circumference of circle = 2πr

Calculation:

Let the radius of two circles be ‘R’ and ‘r’ respectively.

(Area of 1^st circle)/(Area of 2^nd circle) = 4 /9

⇒ πR2/πr2 =  4 /9

⇒ R2/r2 =  4 /9

⇒ R/r =2/3

Now, the ratio of the circumference of two circles = 2πR/2πr

⇒ R/r

⇒ 2/3

∴ The ratio of the circumference of two circles is 2 : 3

Shortcut Trick

The ratio of area of two circles = (Ratio of radius)2 =  4 : 9

The ratio of Circumference = Ratio of radius

Hence,  Ratio of Circumference = √(4/9) = 2 : 3

The correct answer is Dr. Rajendra Prasad.

Key Points

• Rajendra Prasad was the First President of Independent India.
• He is the author of the book - 'India Divided'.

The correct answer is Copper & Zinc.

• Brass is a mixture of Copper and Zinc.
• Brass has higher malleability than bronze or zinc and almost 90% of all brass is recycled.
• Its colour varies from red to yellowish-brown depending upon the amount of zinc added in the alloy.
• It has a low melting point, durability, electrical and thermal conductivity which makes it alloy of diverse uses.

Key Points

• Uses of Brass-
• Used for decorative purposes because of its resemblance to gold.
• it is a good antioxidant
• Used to make musical instruments
• Used in ammunition components
• it is corrosion resistant

Additional Information

Now considering other options-

Shortcut Trick

• Brass and Bronze are the two most confusing alloys of copper. So it is useful to remember mnemonics to avoid confusion among them.
• Brass does not contain the letter 'Z' is its spelling hence in its composition 'Z' lettered element is used i.e Copper and Zinc
• Bronze contains the alphabet 'Z' in its spelling so it will not contain Zinc in its composition, also this spelling misses 'S' alphabet, hence Bronze will contain Sn (Tin) and Copper in its composition.

The logic followed here is:

Option 1) Tired - exhausted ⇒ Correct

Tired is a synonym of exhausted.

Option 2) Loud - noisy ⇒ Correct

Loud is a synonym of noisy.

Gynecologist specialize in uterus. 

Option 3) Close - open ⇒ Incorrect

Close is a antonym of open.

Option 4) Honest - truthful ⇒ Correct

Honest is a synonym of truthful.

Hence, "Option 3" is the correct answer

Given

Pipe A can fill a tank in 80 min

Pipe B can fill a tank in 40 min

Concept

First find the tank filled by pipe A and B together in one minute. and then, reciprocate the answer to find the time taken  by both the pipes to filled the tank

Calculation

Tank filled by pipe A in 1 minute = 1/80

Tank filled by pipe B in 1 minute = 1/40

Tank filled  by pipe A and B in 1 minute together = (1/80) + (1/40)

⇒ (1 + 2)/80

⇒ 3/80

∴ Tank will be filled by A and B together in 80/3 minutes. i.e. \(26{2\over3}\)

CONCEPT:

Atomic Number of an Element

• The atomic number of an element is defined as the number of protons present in the nucleus of an atom.
• In a neutral atom, the number of electrons is equal to the number of protons, so the atomic number also represents the number of electrons in a neutral atom.
• However, the atomic number itself specifically refers to the number of protons, as this is what uniquely defines each element.

Source: https://ncert.nic.in/ncerts/l/iesc104.pdf (page 7 of pdf)

Explanation of Options:

• Statement 1: Number of neutrons and protons - This is incorrect as atomic number is not the combination of  number of neutrons and protons.
• Statement 2: Number of protons - This is correct, as the atomic number is defined by the number of protons in the nucleus.
• Statement 3: Number of neutrons - Neutrons do not determine the atomic number; they affect the atomic mass and isotopes.
• Statement 4: Number of electrons and protons - This is true for neutral atoms, but not all atoms are neutral (e.g., ions). Thus, the atomic number is specifically linked to protons only.

CONCLUSION:

The correct option is:

• Option 2: number of protons

The correct answer is Protozoa.

Key Points

• Ciliate, or ciliophoran, any member of the protozoan phylum Ciliophora, is generally considered the most evolved and complex of protozoans.
• Ciliophora (phylum Protozoa)is a subphylum of protozoa in which cilia are present during at least one stage of the life cycle.
• Two different types of nucleus (macronucleus and micronucleus) are normally present.
• Cells reproduce by binary fission.
• Some examples of the phylum Ciliophora include:
• Spirostomum ambiguum
• Strombidium lagenula
• Paramecium caudatum
• Paramecium aurelia
• Spirostomum minus etc.

Additional Information 

• ​Sipuncula
• ​The Sipuncula or Sipunculida is a class containing about 162 species of unsegmented marine annelid worms.
• Scientific name: Sipuncula.​​
• Phylum: Annelida.
• Kingdom: Animalia.
• Rotifers
• ​The rotifers, commonly called wheel animals or wheel animalcules, make up a phylum of microscopic and near-microscopic pseudocoelomate animals.
• Scientific name: Rotifera.
• Phylum: Rotifera.
• Kingdom: Animalia.
• Echinoderm
• ​An echinoderm is any member of the phylum Echinodermata.
• The adults are recognisable by their radial symmetry, and include starfish, brittle stars, sea urchins, sand dollars, and sea cucumbers, as well as the sea lilies or "stone lilies".
• Kingdom: Animalia.
• Subkingdom: Eumetazoa.
• Protozoa
• ​Protozoa is an informal term for a group of single-celled eukaryotes, either free-living or parasitic, that feed on organic matter such as other microorganisms or organic tissues and debris.

The logic is:

Similarly,

Hence, LQOOFZH is the correct answer.

Given:

A can do a piece of work in 7 hours, B and C can do it in 21/4 hours, and C and A can do it in 7/2 hours.

Concept:

Work done by a person in one hour is the reciprocal of the total hours taken to complete the work. If multiple people work together, their combined work per hour is the sum of their individual work per hour.

Formula Used:

Work done by A in 1 hour = 1/7

Work done by B and C together in 1 hour = 4/21

Work done by C and A together in 1 hour = 2/7

Calculation:

Work done by A in 1 hour:

⇒ A = 1/7

Work done by B and C together in 1 hour:

⇒ B + C = 4/21

Work done by C and A together in 1 hour:

⇒ C + A = 2/7

Substitute A's work (1/7) into the equation for C and A:

⇒ C + 1/7 = 2/7

⇒ C = 2/7 - 1/7

⇒ C = 1/7

Now substitute C's work (1/7) into the equation for B and C:

⇒ B + 1/7 = 4/21

⇒ B = 4/21 - 1/7

⇒ B = 4/21 - 3/21

⇒ B = 1/21

Time taken by B to complete the work alone:

⇒ Time = 1 / (1/21)

⇒ Time = 21 hours

∴ B alone will take 21 hours to complete the work.

The correct answer is Fort St. George.

Key Points

• Fort St. George (historically, White Town)  was built by the East India Company in 1640 in Chennai.
• This is considered the first fort constructed by the British in India.
• The construction of the fort provided the impetus for further settlements and trading activity, in what was originally an uninhabited land.
• The fort currently houses the Tamil Nadu legislative assembly and other official buildings.

Important Points

• Thalassery Fort at Kannur established by the East India Company is a historical monument that stands as a testimonial of colonial rule in Kerala. Established in 1683.
• Mahim Fort is a fort in Mumbai. It is one of the ancient forts, which became a happening place with the entry of the colonialists into India.
• Sewri Fort is a fort in Mumbai built by the British in 1680 for defence.
• Today, it is a Grade I heritage structure that offers wonderful views of the flamingo migration at serwi mudflats.

Given Input: 8 cake 12 bag 5 apple

The pattern followed here is:

The input is a series of number-word pairs. The rearrangement sorts these pairs based on two rules:

1) Numbers are sorted in ascending order.

2) The words associated with the numbers are sorted in alphabetical order.

Input: 8 cake 12 bag 5 apple

Original Pairs: (8, cake), (12, bag), (5, apple)

Sorting by number (ascending): (5, apple), (8, cake), (12, bag)

Step 1: 5 apple 8 cake 12 bag

This shows the numbers are sorted in ascending order. Now, let's examine the words.

The words are "apple", "cake", and "bag". Alphabetical order for these words would be "apple", "bag", "cake".

Step 2: 5 apple 8 bag 12 cake

In this step, the words are re-arranged to follow alphabetical order: "apple", "bag", "cake".

This proves that the logic is to sort "Numbers in ascending order; words in alphabetical order".

Hence, the correct answer is "Option 4."

Concept Used:-

Elimination method is one of the method to solve the linear equations of two variable. In this, one of the variables is eliminated from the system of linear equations by the operations of addition or subtraction in the conjunction by multiplying or dividing the coefficients of the variables.

Explanation:-

Suppose that,

Age of the father = x years

Age of the son = y years

Now, according to the problem, the sum of the ages of a father and his son in years is 65. Thus,

⇒ x + y = 65       ....(1)

Also, twice the difference of their ages in years is 50. Thus,

⇒ 2 × (x - y) = 50       

Divide by 2 both sides of equation,

⇒ (x - y) = 50 / 2

⇒ x - y = 25       ....(2)     

Add both equation (1) and (2),

⇒ (x + y) + (x - y) = 65 + 25

⇒ 2x = 90 

⇒ x = 45 / 2

⇒ x = 45 years 

So, the age of the father is 45 years.

Hence, the correct option is 2.

The correct answer is Silambam.

Key Points

• Silambam is a 'martial arts form' of Tamil Nadu.
• Silambam
• It is an ancient weapon-based martial art.
• ​It is mentioned in Tamil Sangam literature.
• Silam stands for a ‘mountain’ and bam stands for bamboo which is the main weapon used in this form of martial arts.
• The main goal of this martial art is to defend the user against several armed opposition.
• Foot movement are key elements to silambam and kutta varisai (empty hand version).
• There are sixteen movements needed to master the movement of the foot to keep pace with the movement of the stick.

Additional Information

• Thoda
• ​It is a martial art form of Himachal Pradesh.
• It has its origin in Kulu. Thoda.
• It relies on one's archery prowess.
• The equipment required for this game are bows and arrows.
• Thang -Ta ​
• It is a martial art form mainly practised in the state of Manipur.
• Thang refers to a ‘Sword’ and Ta refers to ‘Spear’.
• It is also known as HUYEN LALLONG and CHEBI GATKA.
• It integrates various external weapons - the sword, spear,  dagger, etc. - with the internal practice of physical control through soft movements coordinated with the  rhythms of breathing.
• Kalaripayattu
• It ​is the martial art form prevalent in the Indian state of Kerala.
• The word meaning of Kalaripayattu is “art of the battlefield".
• It is a martial art designed for the ancient battlefield with weapons and combative techniques that are unique to Kerala.
• It is believed to be Lord Vishnu is the founder of martial arts in India.
• Kalaripayattu was used as a code of combat by the dynasties in South India.

The correct answer is Kiwi.

Key Points

• Kiwi is a flightless bird found only in New Zealand.
• Kiwis are pear-shaped endemic flightless birds with long legs and beaks.
• Their closest relatives are the emu, ostrich, cassowary, and rhea.
• Kiwis are found only in New Zealand in **forests, scrublands, and grasslands.**​

Additional Information

• Crane:
• Cranes are flying birds and they can sustain speeds of 30 mph by flying with flapping winds.
• Peacock:
• Peacocks are also one of the fastest running birds which can run at a speed of 10 mph.

The correct answer is Option 4: convince your friend not to cheat.

• Qualities Projected in this situation:  (Sense of responsibility and convincing nature).

Key Points

• Checklist for attempting SRT questions:

1. Read the question and options carefully.
2. Look for options that are realistic, optimistic, and reflect officer-like qualities.
3. Do not skip any situation.
4. Relegate the negative sentences and choose the most logical option among the remaining. As time is an important factor, hence your thinking ability should be swift.
5. React quickly and be logical.

Additional Information

Officer qualities:

Given:

ABC is an equilateral triangle. That has an area of 64√3.

Concept used:

1. Area of an equilateral triangle = \(\frac {\sqrt 3}{4} \times (Side)^2\)
2. Circumradius of any triangle = \(\frac {abc}{4 Δ}\) (Where a,b, and c are the sides and Δ is the area of the triangle)

Calculation:

​According to the concept,

The length of each side of ΔABC = \(\sqrt {\frac {64\sqrt3}{\sqrt 3 \over 4 }}\) = 16

Now, the circumradius = \(\frac {16^3}{4 \times 64\sqrt3}\) = 16/√3

∴ The radius of the circle circumscribing the triangle ABC is 16/√3.

The correct answer is Sales of final goods.

Key Points

• Sales of final goods are included in the gross domestic product.
• GDP or Gross Domestic Product is the total value or market value of all the goods and services in a year in a country's economy. Intermediate goods are not included while calculating GDP.
• GDP:
• GDP's full form is Gross Domestic Product. It is evaluated regularly to account for changing production structure, relative prices, and better recording of economic activities.
• Gross Domestic Product (GDP) is the total money value of final goods and services produced in the economic territories of a country in a given year.
• Non-monetary goods and services (e.g. cooking by a housewife) are not included in GDP calculation.

The correct answer is Heinrich Rudolf Hertz.

Key Points

• The SI unit of sound was named in honour of physicist Heinrich Rudolf Hertz.
• Hertz, abbreviated as Hz, is the SI unit of sound or, more accurately, frequency.
• The sound intensity is defined as the sound of power per unit area, which is measured in watts per square metre (W/m²) in the SI system.
• The difference between the pressure created by a sound wave and the ambient pressure of the medium it is passing through is the sound pressure.
• Pascal, designated by Pa in SI, is the SI unit for SOUND pressure.
• The decibel, abbreviated as dB, is a commonly used relative unit of measurement in acoustics.

Important Points

• Heinrich Rudolf Hertz was a German scientist  who established the  existence of electromagnetic waves predicted by James Clerk Maxwell's electromagnetism equations for the first time.
• In his honour, the frequency unit cycle per second was given the name "hertz."

The correct answer is Option 4.

Although it seems that conclusion I is correct, it is not because the statement only tells that the member of state government has been accused of corruption. We are yet to know that the accusation has been proved correct or not. So conclusion I cannot be drawn.

No details of the police commissioner can be concluded from this statement. So conclusion II is incorrect.

Given 

The average of four consecutive number = 42

Formula used 

Average = Sum of observation/No. of observation 

Calculation 

Let the four consecutive odd number be x, x + 2, x + 4, x + 6

Sum of four consecutive number = 42 × 4 = 168

⇒ 4x + 12 = 168 

⇒ x = 39 

So, B = x + 2 = 41 

and D = x + 6 = 45 

Product of B and D = 41 × 45 = 1845

∴ The required answer is 1845

The correct answer is The Telegraph

Key Points

• Editor of: The Telegraph
• Other roles: Held editorial positions at The Indian Express and other English dailies
• Known for: Political analysis and ground reporting
• Books: Making of Laloo Yadav, The Unmaking of Bihar, Single Man, The Brothers Bihari

Additional Information

• Reported major events like Bhopal gas tragedy, Indira Gandhi assassination, Sri Lankan civil war
• Considered one of the finest writers in contemporary journalism

The correct answer is NaCl.

Key Points

• Ionic Bond: These bonds are also called Electrovalent bond.
• This type of linkage formed from the electrostatic attraction between oppositely charged ions in a chemical compound.
• The atom that loses the electrons becomes a positively charged ion (cation), while the one that gains them becomes a negatively charged ion (anion).
• The formation of ionic compounds (like the addition of sodium metal and chlorine gas to form NaCl) are usually extremely exothermic.
• The loss of an electron from an element.
• Always endothermic (takes energy to strip the electron from the atom)
• The gain of an electron by a non-metal:
• Generally exothermic (energy released)
• Ionic bond can be both Endothermic and exothermic.
• Examples - KCl, AlCl3, NaCl

Additional Information

Covalent Bond:

• A covalent connection is created when the electrons from each participating atom are shared equally.
• Shared pair or bonding pair refers to the pair of electrons involved in this sort of bonding.
• Molecular bonds are another name for covalent bonding.
• The atoms will gain stability in their outer shell through the sharing of bonding pairs, analogous to noble gas atoms.
• Examples - CH4, H2O, NH3

The dictionary order will be :

1. Passed
2. Passport
3. Pastor
4. Pastry
5. Pectoral

Hence, Pastor is the correct answer.

Given :

ΔADE and ΔABC are similar

AC : BC = 3 : 2

Concept:

Similar triangle: Two triangles are similar if all pairs of corresponding angles are congruent, and all pairs of corresponding sides are proportional.

Calculations:

Δ ADE and Δ ABC are similar

By using the property of a similar triangle,

⇒ \(\frac{AD}{AB}=\frac{DE}{BC}=\frac{AE}{AC}\)

⇒ \(\frac{DE}{BC}=\frac{AE}{AC}\)

⇒ \(\frac{DE}{AE}=\frac{BC}{AC} \)

⇒ \(\frac{DE}{AE} = \frac{2}{3}\)      (∵ AC : BC = 3 : 2)

∴ The value of  \(\rm \frac{DE}{AE}\) is 2 : 3.

Option 3 is correct, i.e. Uranium.

• Mendeleev's Periodic Table:
• Uranium was the last element of the Mendeleev's periodic table.
• There were 63 elements in his periodic table.
• He arranged elements according to Atomic mass.
• He developed it in the year 1869.

Note:

• Modern Periodic Table:
• The Modern Periodic Table is classified into the following elements - p-block, s-block, d-block, and f-block.
• The p-block elements include chalcogens, pnictogens, halogens, inert gases.
• The 18^th group is known as Inert gas, zero groups, Nonreactive gases.
• The 17^th group is known as Halogen.
• The 16^th group is known as Chalcogen.
• The 15^th group known as Pnictogen.
• The s-block elements include alkali metals and alkaline earth metals.
• The d-block elements include Transition elements.
• The f-block elements include Inner Transition Elements.

• Rayon is also known as cellulose regenerated fibre.
• It is manufactured from natural resources like cellulose which present in wood pulp.
• The cellulose extracted from the trees is mixed with sodium hydroxide and other chemicals to
• extrude that is known as the rayon fiber.

Given :- a c _ d a _ d d a _ _ d a c _ d

By checking options and substituting accordingly.

1) d a c c d → a c d d / a a d d / a c c d / a c d d

2) a c d c a   a c a d / a c d d / a d c d / a c a d

3) c c d a d → a c c d / a c d d / a d a d / a c d d

4) d c c d d → a c d d / a c d d / a c d d / a c d d

• Option (4) gives a pattern of a c d d - a c d d - a c d d - a c d d.

Hence, ‘d c c d d’ is the correct answer.

Given:

Marked price = Rs. 6600

Selling price = Rs. 4752

Concept:

The discount percentage is calculated using the formula:

Discount Percentage = (Discount / Marked Price) × 100

where, Discount = Marked Price - Selling Price

Calculation:

We have,

⇒ Marked Price = Rs. 6600

⇒ Selling Price = Rs. 4752

⇒ Discount = Marked Price - Selling Price

⇒ Discount = 6600 - 4752

⇒ Discount = 1848

⇒ Discount Percentage = (Discount / Marked Price) × 100

⇒ Discount Percentage = (1848 / 6600) × 100

⇒ Discount Percentage = 0.28 × 100

⇒ Discount Percentage = 28%

∴ The correct answer is option 4.

Ishwarchandra Vidyasagar and Veerasalingam Pantulu played a significant role in the 19^th century in support of widow remarriage.

Key Points

• Ishwarchandra Vidyasagar:
• He was a great scholar and reformer of Bengal who made significant contributions in the field of education and emancipation of women.
• He used the ancient texts to suggest that widows could remarry.
• His suggestion was adopted by British officials, and a law was passed in 1856 permitting widow remarriage.
• Those who were against the remarriage of widows opposed Vidyasagar, and even boycotted him.
• Veerasalingam Pantulu:
• ​He was a social reformer from the Madras Presidency who encouraged the education of women and the remarriage of widows.
• In the Telugu-speaking areas of the Madras Presidency, Veerasalingam Pantulu formed an association for widow remarriage.
• When Veerasalingam started the association, his students were sent all over Andhra Pradesh to find young men who are willing to marry widows.

Hence we can conclude that Ishwarchandra Vidyasagar and Veerasalingam Pantulu played a significant role in the 19^th century in support of widow remarriage.

Additional Information

• Raja Rammohan Roy:
• ​In 1828, he founded a new religious organisation, the Brahma Sabha, which later came to be known as Brahmo Samaj in 1830.
• As a result of his efforts, the government under William Bentinck banned the practice of sati in 1829.
• Henry Derozio:
• ​He was a professor at Hindu College who started the Young Bengal Movement in Bengal.
• Swami Vivekananda:
• ​He founded the Ramakrishna Mission in 1897.
• He delivered his famous speech at the Parliament of Religions held at Chicago, USA in 1893, which introduced the western world to philosophy of Hinduism.
• Periyar:
• ​E.V. Ramaswamy Naicker, also known as Periyar launched the Self Respect Movement in 1925 in Tamil Nadu.
• Rashsundari:
• Rashsundari Devi is the first Bengali and the first Indian woman to write an autobiography.
• She is a renowned author of ‘Amar Jibon’ (My Life), which was published in 1876.
• Rokeya Sakhawat Hossain:
• ​Begum Rokeya Sakhawat Hossain started schools for Muslim girls in Patna and Calcutta.

Key Points

• Tocopherol is popularly known as vitamin E.
• Vitamin E is a fat soluble vitamin, primarily found in certain plant oils and the leaves of green vegetables.
• It is usually found in fortified cereals, seeds, and nuts.
• Fat soluble vitamins are stored in adipose cells.
• It is hydrophobic in nature.
• Vitamin E is often called as anti-sterility vitamin.
• It is responsible for maintaining normal functioning of reproductive organs and promoting sperm motility.
• It acts as an antioxidant and protect the sperm membrane from oxidative destruction.
• Deficiency of vitamin E causes weakness in muscles, peripheral neuropathy, and increases the fragility of RBCs.

Additional InformationCalciferol-

• It is commonly known as vitamin D.
• The sources of vitamin D are the sunlight, fortified milk and other dairy products.
• The deficiency of calciferol causes rickets and osteomalacia.

Cyanocobalamin-

• It is a form of vitamin B12.
• This is used to treat vitamin B12 deficiency that causes pernicious anemia.
• Vitamin B12 is found in fish, poultry, meat, dairy products, etc.

Phytonadione-

• Phytonadione is an artificially made vitamin K.
• It is used to treat vitamin K deficiency.
• The sources of this vitamin are tomatoes, broccoli, mangoes, grapes, chestnuts, cashew nuts and lamb.

Hence, the correct answer is Tocopherol.

Given : Pankaj, Alpesh, Srikumar, Dinesh, Neeraj and Maninder are sitting in six different rows with one person in each row, exactly one after another. 

Explanation :

1. Dinesh is sitting in the last row.

2) There are four persons before Alpesh

3)  Pankaj is just before Alpesh. 

4) Srikumar is just after Neeraj. 

5) Maninder is not in the first row.

Thus, according to the final arrangement Pankaj is sitting just after Maninder.

Hence, "Pankaj" is the correct answer.

Shortcut Trick

Winner gets 64% of polled votes, so the loser gets (100% − 64%) = 36% of polled votes.

Difference in percentage = 64% − 36% = 28%

28% of total polled votes = 504 ⇒ Total polled votes = (504 × 100) ÷ 28 = 1800.

Since only 90% of the voters cast their votes, Total Voters = (1800 × 100) ÷ 90 = 2000.

∴ The correct answer is 2,000.

Alternate Method

Total Voters = x

Polled = 90% of x

Winner
64% of Polled

Loser
36% of Polled

Margin = 28% = 504

Let the total number of voters on the voting list be x.

Given:

⇒ Percentage of voters who cast their votes = 90%

⇒ Total votes polled = 90% of x = 0.9x

⇒ Votes secured by the winner = 64% of the polled votes

⇒ Votes secured by the loser = (100% − 64%) = 36% of the polled votes

Formula Used:

⇒ Winning margin = Winner's votes − Loser's votes

Calculation:

⇒ Margin in percentage = 64% − 36% = 28% of polled votes

⇒ 28% of (0.9x) = 504

⇒ (28 ÷ 100) × (90 ÷ 100) × x = 504

⇒ 0.28 × 0.9 × x = 504

⇒ 0.252 × x = 504

⇒ x = 504 ÷ 0.252

⇒ x = 2000

∴ The correct answer is 2,000.

Additional Information

Valid and Invalid Votes

When an election involves invalid votes, the winning margin is calculated strictly based on the total valid votes. Total Polled Votes = Valid Votes + Invalid Votes.

Base for Percentage Calculation

Always verify whether the percentage of votes secured by a candidate is based on the 'Total Voters on the list' or 'Total Polled Votes'. A difference in the base drastically changes the final equation.

The correct answer is a tool.

Key Points

• A celt is a tool from the Neolithic period.
• The tools and weapons of the Neolithic Age were better and sharper than the Paleolithic Age.
• A polished stone called a celt was used to make tools.
• Some newly developed **tools like sickles, bows, arrows and improved axes were made in the Neolithic Age.**​

Important Points

• Salient features of the Neolithic period
• ​In India, the period occurs between 7,000 B.C. to 1,000 B.C.
• Development of settled agriculture and the use of tools and weapons made of polished stones.
• The major crops grown during this period were ragi, horse gram, cotton, rice, wheat, and barley.
• One of the remarkable achievements of the Neolithic Period was the invention of the wheel.
• It brought rapid progress in man's life.
• The wheel was used in horse carts and bullock carts that helped man a lot to carry heavy loads.
• Therefore, in this period transport became quite easy and quick.
• The wheel was also used for spinning and weaving.
• It also helped in pottery.
• Man-made beautiful pots to keep food grains and store water.

The Correct Answer is Calorimeter.

Key Points

• A calorimeter is an object used to measure the heat of chemical reactions or physical changes as well as the heat potential for calorimetry, or the method of measuring it.
• Among the most popular types are differential scanning calorimeters, isothermal micro calorimeters, titration calorimeters and accelerated rate calorimeters.
• A basic calorimeter is essentially a thermometer that is connected to a metal container full of water suspended over a chamber of combustion.
• It is one of the measurement instruments used in thermodynamics, chemistry, and biochemistry science.

Important Points 

• A manometer is a pressure measurement device. A typical simple manometer is made up of a glass U-shaped tube filled with some liquid. Because of its high density, the liquid is usually mercury.
• A hygrometer is a device used to determine the quantity of water vapour in enclosed spaces, air, or soil.
• A colourimeter is a device that calculates the absorption by a particular solution of specific wavelengths of light used in colourimetry.

The logic for the given series is mentioned below:

 Alternate Method

⇒ 30 × 3 = 90 - 45 = 45

⇒ 45 × 3 = 135 - 35 = 100

⇒ 100 × 3 = 300 - 25 = 275

⇒ 275 × 3 = 825 - 15 = 810

Hence, the correct answer is "100".

Given:

Average of 7 numbers = 39

Average of 3 of them = 27

Formula used:

Average = Sum of observation / Number of observations

Solution:

Let the sum of 3 numbers = m

\(\dfrac{m}{3}\) = 27

⇒ m = 27 x 3

⇒ m = 81

Let, the average of rest 4 numbers = n

 \(\dfrac{m+n}{7}\) = 39

⇒ 81 + n = 39 × 7 = 273

⇒ n = 273 - 81 = 192

The average of other 4 numbers = \(\dfrac{n}{4}\) = \(\dfrac{192}{4}\) = 48

∴ The average of other 4 numbers is 48.

The correct answer is G V Mavalankar.

Key Points

• The Speaker is the Lok Sabha's presiding official.
• She/He is chosen from among the Lok Sabha members by the latter.
• The Speaker presides over the House's meeting, keeps the House in order, and runs the House's business in line with its rules.
• Ganesh Vasudev Mavalankar served as the Lok Sabha's first speaker from 1952 to 1956.
• He became a member of the Indian Independence Movement and, for a brief time, served as secretary of the Gujarat Provincial Congress Committee.
• He was chosen as the Central Legislative Assembly's Speaker in 1946.
• He held that position until the Central Legislative Assembly was dissolved and the Constituent Assembly was established on August 15, 1947.
• On November 17, 1947, Mavalankar was once more appointed Speaker of the Constituent Assembly (Legislative).
• On November 26, 1949, the Provisional Parliament was established, and he was appointed speaker. He sat on this chair from 1950 to 1952.
• In 1952, the first Lok Sabha was established. Mavalankar was a no-brainer for Speaker. He easily defeated the candidate for speaker by a wide margin.
• He changed the house's rules in various ways while serving as Speaker.
• He had a vital role in making the "Question Hour" session a regular and important part of the parliament.
• Mavalankar was the one to start the conversation about the "President's Address" and the "Motion of Thanks."
• The Rules Committee, the Business Advisory Committee, the Committee of Privileges, the Committee on Subordinate Legislation, the Committee on Private Members' Bills and Resolutions, and others were started as a result of his initiatives.
• In reality, Mavalankar established a number of standards for the House's conduct and procedure that are being adhered to today.
• Jawaharlal Nehru gave him the moniker "Father of the Lok Sabha." Additionally, he went by the name "Dadasaheb."

The correct answer is option 1, i.e. 2 electrons.

EXPLANATION:

• There are 2 electrons in the outermost shell of Mercury (Hg).

• It is a d-block element and is placed in group 12.

• The electronic configuration of Hg is 2, 8, 18, 32, 18, 2.

• Hg is a metal that is found in the liquid state at room temperature.

ADMINISTRATION → SITUATION cannot be formed from the given word, since there is no U in the word.

ADMINISTRATION → STRAIN can be formed from the given word.

ADMINISTRATION → TRADITION can be formed from the given word.

ADMINISTRATION → RATION can be formed from the given word.

Hence, “situation” cannot be formed using letters of the given word.

Formula used:

Area of equilateral triangle = \(\frac{√3}{4}\)(side)²

Calculation:

Let the side of the triangle be 'a'

Using the above formula 

Area = \(\frac{\sqrt3}{2}\) × 84.5

\(\frac{√3}{4}\)(a²) = \(\frac{\sqrt3}{2}×\frac{169}{2}\)

a² = 169

a = 13 

∴ The length of each side of the triangle is 13cm.